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Finding the Third Proportional to 70,158 and 153,897

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Solution

The third proportional to 70,158 and 153,897 is: 337,584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,158 : 153,897 = 153,897 : x
  2. Step 2: Convert to fraction form
    70,158/153,897 = 153,897/x
  3. Step 3: Cross multiply
    70,158x = 153,897 × 153,897
  4. Step 4: Simplify right side
    70,158x = 23,684,286,609
  5. Step 5: Solve for x
    x = 23,684,286,609/70,158
  6. Step 6: Final answer
    x = 337,584.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.